Euler deconvolution based on SVD-TLS

It is difficult to characterize complicated anomaly sources with the single prescribed structure index and to determine structural index when these types of causative sources are unknown, and solutions of Euler deconvolution with divergent trend caused by error set or wrongly estimated structural index. Pathological equations of Euler deconvolution results in good solution. In this paper, we use SVD-TLS algorithm to reduce instability and non-uniqueness of Euler solution due to improper singular value analysis, then use truncation error of SVD-TLS to construct threshold function to filter the erroneous solutions. The proposed method is verified by one numerical example and results show that the approach is effective.